# Unstable Motivic Homotopy Theory

## TL;DR

This paper introduces the concepts and foundational results of unstable motivic homotopy theory, a branch of algebraic topology that studies schemes and algebraic varieties through homotopical methods.

## Contribution

It provides an accessible introduction and survey of key results in unstable motivic homotopy theory by Morel and Voevodsky.

## Key findings

- Survey of fundamental results in unstable motivic homotopy theory
- Introduction to key concepts and techniques in the field
- Overview of recent developments and open problems

## Abstract

We give an introduction to unstable motivic homotopy theory of Morel and Voevodsky, and survey some results.